On the existence of horizons in spacetimes with vanishing curvature invariants

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, no figures

Scientific paper

10.1088/1126-6708/2003/11/046

A direct very simple proof that there can be no closed trapped surfaces (ergo
no black hole regions) in spacetimes with all curvature scalar invariants
vanishing is given. Explicit examples of the recently introduced ``dynamical
horizons'' which nevertheless do not enclose any trapped region are presented
too.

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